Browsing by Author "Musundi, S.W"

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    ``Transitivity Action of An(n=5,6,7,8) On Unordered and Ordered Pairs’’
    (2013-09) Sitati, N. I; Kinyanjui, J.N; Musundi, S.W; Rimberia, J.; Makila, P.
    In this paper, we study some transitivity action properties of the alternating group 𝐴𝑛(𝑛=5,6,7 ,8) acting on unordered and ordered pairs from the set 𝑋𝑋 = {1,2,…,𝑛𝑛} through determination of the number of disjoint equivalence classes called orbits. When 𝑛𝑛≤ 8, the alternating group acts transitively on both X (2) and X[2]. Mathematics Subject Classification: 20BO5, 06A75, 06F15.